Results 11 to 20 of about 395,811 (280)
Residue Arithmetic and VLSI [PDF]
, 1983 In the residue number system arithmetic is carried out on each digit individually. There is no carry chain. This locality is of particular interest in VLSI. An evaluation of different implementations of residue arithmetic is carried out, and the effects of reduced feature sizes estimated. At the current state of technology the traditional table lookup
Chiang, Chao-Lin, Johnsson, Lennart
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Optimizing residue arithmetic on FPGAs [PDF]
2008 International Conference on Field-Programmable Technology, 2008 Residue number system (RNS), which originates from the Chinese remainder theorem, is regarded as a promising number representation in the domain of digital signal processing (DSP). This paper describes our work on optimizing residue arithmetic units on the platform of reconfigurable devices, such as FPGAs. First, we provide improved designs for residue
Haohuan Fu, Oskar Mencer, Wayne Luk
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Optical residue arithmetic: a correlation approach [PDF]
Applied Optics, 1979 A numerical optical processor is described that performs operations in residue arithmetic. The position coding used to represent decimal and residue numbers allows one to describe the various conversions and operations in a correlation formulation. This description of residue arithmetic leads directly to novel residue adder and decimal/residue/decimal ...
CASASENT, D., PSALTIS, D.
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A Redundant Residue Number System Coded Burst-by-Burst Adaptive Joint-Detection Based CDMA Speech Transceiver [PDF]
, 2006 A burst-by-burst (BbB) adaptive speech transceiver is proposed, which can drop its source coding rate and speech quality under transceiver control in order to invoke a more error resilient modem mode among less favorable channel conditions.
H.T. How +9 more
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FIR Filter Implementation Based on the RNS with Diminished-1 Encoded Channel
International Journal of Advances in Telecommunications, Electrotechnics, Signals and Systems, 2013 A technique, based on the residue number system (RNS) with diminished-1 encoded channel, has being used for implementing a finite impulse response (FIR) digital filter.
Dragana Uros Zivaljevic +2 more
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Quadratic residues and non-residues in arithmetic progression [PDF]
Journal of Number Theory, 2013 Let S be an infinite set of non-empty, finite subsets of the nonnegative integers. If p is an odd prime, let c(p) denote the cardinality of the set {T {\in} S : T {\subseteq} {1,...,p-1} and T is a set of quadratic residues (respectively, non-residues) of p}.
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Quantifying residual finiteness of arithmetic groups [PDF]
Compositio Mathematica, 2012 Abstract The normal residual finiteness growth of a group quantifies how well approximated the group is by its finite quotients. We show that any S -arithmetic subgroup of a higher rank Chevalley group G has normal residual finiteness ...
Bou-Rabee, Khalid, Kaletha, Tasho
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Analysis of algorithms performing basic arithmetic operations in the quadratic RNS
Наука. Инновации. Технологии, 2022 In this paper we explore the question of representing complex numbers in a residue number system and build algorithms for the operations of addition and multiplication. The idea of the construction of such systems is in determining how the set of complex
Lyudmila Borisovna Kopytkova
doaj
An algorithmic and architectural study on Montgomery exponentiation in RNS [PDF]
, 2012 The modular exponentiation on large numbers is computationally intensive. An effective way for performing this operation consists in using Montgomery exponentiation in the Residue Number System (RNS).
Bajard, J.C. +6 more
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Model of nonconventional encryption algorithm based on nested Feistel network
Open Engineering, 2016 The purpose of research - studying the possibilities of practical application of the encryption algorithm based on nonpositional polynomial notations using nested Feistel network.
Nyssanbayeva Saule +2 more
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